Pith Number

pith:H2M2XTO7

pith:2017:H2M2XTO7IV36JH3YH4RUF5BKMS

not attested not anchored not stored refs pending

Mirror of Atiyah flop in symplectic geometry and stability conditions

Hansol Hong, Shing-Tung Yau, Siu-Cheong Lau, Yu-Wei Fan

arxiv:1706.02942 v2 · 2017-06-09 · math.SG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2M2XTO7IV36JH3YH4RUF5BKMS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:41:47.551091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e99abcddf4577e49f783f2342f42a64856034628dd3952a3d3508eebf7ca9cb

Aliases

arxiv: 1706.02942 · arxiv_version: 1706.02942v2 · doi: 10.48550/arxiv.1706.02942 · pith_short_12: H2M2XTO7IV36 · pith_short_16: H2M2XTO7IV36JH3Y · pith_short_8: H2M2XTO7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H2M2XTO7IV36JH3YH4RUF5BKMS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3e99abcddf4577e49f783f2342f42a64856034628dd3952a3d3508eebf7ca9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e66ccc2ffeb0243f8c950746164d23d9d3951db562e0e0c0e155cd9c5ce107b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-06-09T13:25:10Z",
    "title_canon_sha256": "315c430cc7cce0726c0ec8eb6034e443fced73a5fcb90218886439e44fd22405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02942",
    "kind": "arxiv",
    "version": 2
  }
}